Pith Number

pith:XJEIVXGK

pith:2017:XJEIVXGKXXBUH7DBLUQZEAIITY

not attested not anchored not stored refs pending

Cohen-Macaulay binomial edge ideals of cactus graphs

Giancarlo Rinaldo

arxiv:1704.07106 v4 · 2017-04-24 · math.AC · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XJEIVXGKXXBUH7DBLUQZEAIITY}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:27:48.408754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba488adccabdc343fc615d219201089e2b68ad87fd0982a88032fc81476aa7b6

Aliases

arxiv: 1704.07106 · arxiv_version: 1704.07106v4 · doi: 10.48550/arxiv.1704.07106 · pith_short_12: XJEIVXGKXXBU · pith_short_16: XJEIVXGKXXBUH7DB · pith_short_8: XJEIVXGK

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/XJEIVXGKXXBUH7DBLUQZEAIITY \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: ba488adccabdc343fc615d219201089e2b68ad87fd0982a88032fc81476aa7b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d738dd6faf293f71fa9611cdc54a139a57693aa716bed8190e69210a6e945ad0",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-04-24T09:27:38Z",
    "title_canon_sha256": "9d75ac5034416e1f1af7198ae1fc25ee3879052609efd0e13c41726247d15905"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.07106",
    "kind": "arxiv",
    "version": 4
  }
}